1285295616 has 120 divisors (see below), whose sum is σ = 4046832504. Its totient is φ = 389468160.

The previous prime is 1285295579. The next prime is 1285295651. The reversal of 1285295616 is 6165925821.

1285295616 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 29 + 5 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38010 + ... + 63366.

Almost surely, 2^1285295616 is an apocalyptic number.

1285295616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285295616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023416252).

1285295616 is an abundant number, since it is smaller than the sum of its proper divisors (2761536888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1285295616 is a wasteful number, since it uses less digits than its factorization.

1285295616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25392 (or 25373 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 1285295616 is about 35851.0197344511. The cubic root of 1285295616 is about 1087.2623315741.

The spelling of 1285295616 in words is "one billion, two hundred eighty-five million, two hundred ninety-five thousand, six hundred sixteen".